13008128
13,008,128 is an even composite number composed of four prime numbers multiplied together.
13008128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 13008128:
28 × 72 × 17 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 61)See below for interesting mathematical facts about the number 13008128 from the Numbermatics database.
Names of 13008128
- Cardinal: 13008128 can be written as Thirteen million, eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3008128 × 107
Factors of 13008128
Divisors of 13008128
- Number of divisors d(n): 108
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Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 49 56 61 64 68 98 112 119 122 128 136 196 224 238 244 256 272 392 427 448 476 488 544 784 833 854 896 952 976 1037 1088 1568 1666 1708 1792 1904 1952 2074 2176 2989 3136 3332 3416 3808 3904 4148 4352 5978 6272 6664 6832 7259 7616 7808 8296 11956 12544 13328 13664 14518 15232 15616 16592 23912 26656 27328 29036 30464 33184 47824 50813 53312 54656 58072 66368 95648 101626 106624 109312 116144 132736 191296 203252 213248 232288 265472 382592 406504 464576 765184 813008 929152 1626016 1858304 3252032 6504064 13008128
- Sum of all divisors σ(n): 32505732
- Sum of proper divisors (its aliquot sum) s(n): 19497604
- 13008128 is an abundant number, because the sum of its proper divisors (19497604) is greater than itself. Its abundance is 6489476
Bases of 13008128
- Binary: 1100011001111101000000002
- Hexadecimal: 0xC67D00
- Base-36: 7QT4W
Squares and roots of 13008128
- 13008128 squared (130081282) is 169211394064384
- 13008128 cubed (130081283) is 2201123473047947313152
-
The
square root of 13008128 is 3606.6782501355 -
The
cube root of 13008128 is 235.1824627893
Scales and comparisons
How big is 13008128?- 13,008,128 seconds is equal to 21 weeks, 3 days, 13 hours, 22 minutes, 8 seconds.
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To count from 1 to 13,008,128 would take you about thirty-two weeks!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13008128 cubic inches would be around 19.6 feet tall.
Recreational maths with 13008128
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Keywords: Divisors of 13008128, math, Factors of 13008128, curriculum, school, college, exams, university, Prime factorization of 13008128, STEM, science, technology, engineering, physics, economics, calculator, thirteen million, eight thousand, one hundred twenty-eight.